List questions from complex-numbers

Published on 10 Apr 2026 - 16:32

371

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Evaluate $\int_0^{2\pi} \frac{d\theta}{\left(1+\beta \cos (\theta )\right)^2}$

Published on 17 Apr 2026 - 8:06

83

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Why is $z^{1/k}=|z|^{1/k}e^{iarg(z)/k}$ for $k\in \mathbb{Z}$ true?

Published on 15 Apr 2026 - 3:59

223

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Conformal mappings to polygons: why is my integral conformal?

Published on 13 Apr 2026 - 4:28

82

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For which positive integers $n$ does $P(n)$ fail to hold?

Published on 12 Apr 2026 - 8:57

153

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How to find root of the complex number?

Published on 10 Apr 2026 - 15:24

46

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Solving a system of complex equations

Published on 07 Apr 2026 - 23:34

82

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Unable to solve any Euler questions. Fundamental error I cannot find

Published on 10 Apr 2026 - 5:54

34

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Prove that $\forall a,b\in\mathbb{C} \exists c,d \in \mathbb{C}: c+d = a \land cd = b$

Published on 22 Apr 2026 - 2:05

380

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Why do I get two different results for the reciprocal of $i$?

Published on 11 Apr 2026 - 11:46

125

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What is the error in this fake-proof of the complex number i?

Published on 09 Apr 2026 - 21:16

273

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Showing $\left(\frac{-1+\sqrt{3}i}{2}\right)^3=1$

Published on 17 Apr 2026 - 2:57

386

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Let $z_1,z_2$ be complex numbers such that $Im(z_1z_2)=1$ Find the minimum value of $|z_1|^2+|z_2|^2+Re(z_1z_2)$

Published on 17 Apr 2026 - 1:06

350

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Sum $y(x)=\sum_{k=1}^{\infty} \frac{|\cos(kx)|}{k}$

Published on 24 Apr 2026 - 17:35

47

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Absolute value of the sume of two complex number

Published on 12 Apr 2026 - 21:07

List Question

Limit of complex exponential

Evaluate $\int_0^{2\pi} \frac{d\theta}{\left(1+\beta \cos (\theta )\right)^2}$

Why is $z^{1/k}=|z|^{1/k}e^{iarg(z)/k}$ for $k\in \mathbb{Z}$ true?

Conformal mappings to polygons: why is my integral conformal?

For which positive integers $n$ does $P(n)$ fail to hold?

How to find root of the complex number?

Solving a system of complex equations

Unable to solve any Euler questions. Fundamental error I cannot find

Prove that $\forall a,b\in\mathbb{C} \exists c,d \in \mathbb{C}: c+d = a \land cd = b$

Why do I get two different results for the reciprocal of $i$?

What is the error in this fake-proof of the complex number i?

Showing $\left(\frac{-1+\sqrt{3}i}{2}\right)^3=1$

Let $z_1,z_2$ be complex numbers such that $Im(z_1z_2)=1$ Find the minimum value of $|z_1|^2+|z_2|^2+Re(z_1z_2)$

Sum $y(x)=\sum_{k=1}^{\infty} \frac{|\cos(kx)|}{k}$

Absolute value of the sume of two complex number

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